Pith Number

pith:CE3IZX4B

pith:2011:CE3IZX4BBMHU6LRSQTD5D2DNP7

not attested not anchored not stored refs pending

Integral representations and properties of operator fractional Brownian motions

Gustavo Didier, Vladas Pipiras

arxiv:1102.1822 v1 · 2011-02-09 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CE3IZX4BBMHU6LRSQTD5D2DNP7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:29:44.124058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11368cdf810b0f4f2e3284c7d1e86d7fe783b37dbdb86459858817e556cd8c11

Aliases

arxiv: 1102.1822 · arxiv_version: 1102.1822v1 · doi: 10.48550/arxiv.1102.1822 · pith_short_12: CE3IZX4BBMHU · pith_short_16: CE3IZX4BBMHU6LRS · pith_short_8: CE3IZX4B

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CE3IZX4BBMHU6LRSQTD5D2DNP7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 11368cdf810b0f4f2e3284c7d1e86d7fe783b37dbdb86459858817e556cd8c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec4c7d766377e89b7dc7bd18f9fd5f671cb63db827a3c420c2686aeceeaaf5ca",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-02-09T09:35:02Z",
    "title_canon_sha256": "d16a6a62cf224c9dea5625620fa42cc7d66fed8342f61eb026f3edcc347031c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1822",
    "kind": "arxiv",
    "version": 1
  }
}